1303878900 has 72 divisors (see below), whose sum is σ = 3777855424. Its totient is φ = 347212800.

The previous prime is 1303878899. The next prime is 1303878913. The reversal of 1303878900 is 98783031.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244260 + ... + 249540.

Almost surely, 2^1303878900 is an apocalyptic number.

1303878900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303878900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888927712).

1303878900 is an abundant number, since it is smaller than the sum of its proper divisors (2473976524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1303878900 is a wasteful number, since it uses less digits than its factorization.

1303878900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1303878900 is about 36109.2633544358. The cubic root of 1303878900 is about 1092.4772933995.

The spelling of 1303878900 in words is "one billion, three hundred three million, eight hundred seventy-eight thousand, nine hundred".